{
 "cells": [
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": [
    "# 图像梯度-Sobel算子\n",
    "![title](data/sobel_1.png)"
   ],
   "id": "8ea55bc942b98b95"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-09-16T07:47:40.913902Z",
     "start_time": "2025-09-16T07:47:38.959268Z"
    }
   },
   "cell_type": "code",
   "source": [
    "import cv2\n",
    "import numpy as np\n",
    "\n",
    "img = cv2.imread(r'../data/pie.png', cv2.IMREAD_GRAYSCALE)\n",
    "cv2.imshow('img', img)\n",
    "cv2.waitKey(0)\n",
    "cv2.destroyAllWindows()"
   ],
   "id": "41b3d7059bb03326",
   "outputs": [],
   "execution_count": 19
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": [
    " dst = cv2.Sobel(src, ddepth, dx, dy, ksize)\n",
    "- ddepth: 输出图像的深度\n",
    "- dx: x方向导数阶数\n",
    "- dy: y方向导数阶数\n",
    "- ksize: 卷积核大小/Sobel算子的大小"
   ],
   "id": "316d8a5c8e121718"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-09-16T07:47:42.751203Z",
     "start_time": "2025-09-16T07:47:42.738136Z"
    }
   },
   "cell_type": "code",
   "source": [
    "def cv_show(img, name):\n",
    "    cv2.imshow(name, img)\n",
    "    cv2.waitKey(0)\n",
    "    cv2.destroyAllWindows()"
   ],
   "id": "ae60a475466a967e",
   "outputs": [],
   "execution_count": 20
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-09-16T07:47:46.486359Z",
     "start_time": "2025-09-16T07:47:44.937392Z"
    }
   },
   "cell_type": "code",
   "source": [
    "sobelx = cv2.Sobel(img, cv2.CV_64F, 1, 0, ksize=5)\n",
    "cv_show(sobelx, 'sobelx')"
   ],
   "id": "17106522f69d4c9e",
   "outputs": [],
   "execution_count": 21
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "白到黑是正数，黑到白是负数，所有的负数都会被截断为0，所以要取绝对值",
   "id": "c44eccdc370b8152"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-09-16T07:47:49.176952Z",
     "start_time": "2025-09-16T07:47:48.366310Z"
    }
   },
   "cell_type": "code",
   "source": [
    "sobelx = cv2.Sobel(img, cv2.CV_64F, 1, 0, ksize=3)\n",
    "display(sobelx.dtype)\n",
    "sobelx = cv2.convertScaleAbs(sobelx)\n",
    "# sobelx = np.abs(sobelx)\n",
    "cv_show(sobelx, 'sobelx')"
   ],
   "id": "549a03b7cd524ca5",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "dtype('float64')"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 22
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-09-16T07:47:52.408274Z",
     "start_time": "2025-09-16T07:47:50.835080Z"
    }
   },
   "cell_type": "code",
   "source": [
    "sobely = cv2.Sobel(img,cv2.CV_64F,0,1,ksize=3)\n",
    "sobely = cv2.convertScaleAbs(sobely)\n",
    "cv_show(sobely,'sobely')"
   ],
   "id": "9e39186ae4f3929a",
   "outputs": [],
   "execution_count": 23
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "- 对比converScaleAbs函数 和 np.abs()",
   "id": "82413098838f3a7"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-09-16T07:43:08.884579Z",
     "start_time": "2025-09-16T07:43:05.283967Z"
    }
   },
   "cell_type": "code",
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# 创建测试图像\n",
    "circle = np.zeros((200, 200), dtype=np.uint8)\n",
    "cv2.circle(circle, (100, 100), 80, 255, -1)\n",
    "\n",
    "# 计算Sobel\n",
    "sobelx = cv2.Sobel(circle, cv2.CV_64F, 1, 0, ksize=5)\n",
    "\n",
    "# 两种方法处理\n",
    "result_np = np.abs(sobelx)\n",
    "result_cv = cv2.convertScaleAbs(sobelx)\n",
    "\n",
    "# 显示对比\n",
    "plt.figure(figsize=(15, 5))\n",
    "\n",
    "plt.subplot(1, 3, 1)\n",
    "plt.imshow(sobelx, cmap='gray')\n",
    "plt.title('Original Sobel (with negatives)')\n",
    "plt.axis('off')\n",
    "\n",
    "plt.subplot(1, 3, 2)\n",
    "plt.imshow(result_np, cmap='gray')\n",
    "plt.title('np.abs()\\nStill float64')\n",
    "plt.axis('off')\n",
    "\n",
    "plt.subplot(1, 3, 3)\n",
    "plt.imshow(result_cv, cmap='gray')\n",
    "plt.title('cv2.convertScaleAbs()\\nConverted to uint8')\n",
    "plt.axis('off')\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "print(\"np.abs 数据类型:\", result_np.dtype)\n",
    "print(\"cv2.convertScaleAbs 数据类型:\", result_cv.dtype)"
   ],
   "id": "7dc2dad870d72153",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 1500x500 with 3 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "np.abs 数据类型: float64\n",
      "cv2.convertScaleAbs 数据类型: uint8\n"
     ]
    }
   ],
   "execution_count": 7
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-09-16T07:47:57.639503Z",
     "start_time": "2025-09-16T07:47:56.624592Z"
    }
   },
   "cell_type": "code",
   "source": [
    "# 叠加\n",
    "sobelxy = cv2.addWeighted(sobelx, 0.5, sobely, 0.5, 0)\n",
    "cv_show(sobelxy,'sobelxy')"
   ],
   "id": "4502eaf225e851eb",
   "outputs": [],
   "execution_count": 24
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-09-16T07:48:00.364193Z",
     "start_time": "2025-09-16T07:47:59.449899Z"
    }
   },
   "cell_type": "code",
   "source": [
    "# 直接计算\n",
    "sobelxy = cv2.Sobel(img, cv2.CV_64F, 1, 1, ksize=3)\n",
    "sobelxy = cv2.convertScaleAbs(sobelxy)\n",
    "cv_show(sobelxy,'sobelxy')"
   ],
   "id": "b1ae3cc1524b4d1c",
   "outputs": [],
   "execution_count": 25
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-09-16T07:48:22.391939Z",
     "start_time": "2025-09-16T07:48:19.862213Z"
    }
   },
   "cell_type": "code",
   "source": [
    "img = cv2.imread(r'../data/lena.jpg', cv2.IMREAD_GRAYSCALE)\n",
    "sobelx = cv2.Sobel(img, cv2.CV_64F, 1, 0, ksize=5)\n",
    "sobelx = cv2.convertScaleAbs(sobelx)\n",
    "sobely = cv2.Sobel(img, cv2.CV_64F, 0, 1, ksize=5)\n",
    "sobely = cv2.convertScaleAbs(sobely)\n",
    "sobelxy = cv2.addWeighted(sobelx, 0.5, sobely, 0.5, 0)\n",
    "cv_show(sobelxy,'sobelxy')"
   ],
   "id": "c57e1a7b0fbc6fc6",
   "outputs": [],
   "execution_count": 27
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": [
    "# 图像梯度-Scharr算子\n",
    "![title](data/scharr.png)"
   ],
   "id": "6084dbd7c9294f5b"
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": [
    "# 图像梯度-laplacian算子\n",
    "![title](data/l.png)"
   ],
   "id": "f4ec8ab2bb94c399"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-09-16T07:55:24.499615Z",
     "start_time": "2025-09-16T07:55:20.411829Z"
    }
   },
   "cell_type": "code",
   "source": [
    "# 不同算子的差异\n",
    "img = cv2.imread(r'../data/lena.jpg', cv2.IMREAD_GRAYSCALE)\n",
    "sobelx = cv2.Sobel(img, cv2.CV_64F, 1, 0, ksize=3)\n",
    "sobely = cv2.Sobel(img, cv2.CV_64F, 0, 1, ksize=3)\n",
    "sobelx = cv2.convertScaleAbs(sobelx)\n",
    "sobely = cv2.convertScaleAbs(sobely)\n",
    "sobelxy = cv2.addWeighted(sobelx, 0.5, sobely, 0.5, 0)\n",
    "\n",
    "scharrx = cv2.Scharr(img, cv2.CV_64F, 1, 0)\n",
    "scharry = cv2.Scharr(img, cv2.CV_64F, 0, 1)\n",
    "scharrx = cv2.convertScaleAbs(scharrx)\n",
    "scharry = cv2.convertScaleAbs(scharry)\n",
    "scharrxy = cv2.addWeighted(scharrx, 0.5, scharry, 0.5, 0)\n",
    "\n",
    "laplacian = cv2.Laplacian(img, cv2.CV_64F)\n",
    "laplacian = cv2.convertScaleAbs(laplacian)\n",
    "\n",
    "res = np.hstack((sobelxy, scharrxy, laplacian))\n",
    "cv_show(res,'res')"
   ],
   "id": "4fda565419eba2af",
   "outputs": [],
   "execution_count": 30
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": [
    "# Canny边缘检测\n",
    "- 1)      使用高斯滤波器，以平滑图像消除噪声\n",
    "- 2)      计算图形中每个像素点的梯度强度和方向\n",
    "- 3)      应用非极大值（Non-Maximum Suppression）抑制，以消除边缘检测带来的杂散响应\n",
    "- 4)      应用双阈值（Doubel-Threshold）检测来确定真实的和潜在的边缘\n",
    "- 5)      通过抑制孤立的弱边缘最终完成边缘检测"
   ],
   "id": "2f62df9fee79d986"
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": [
    "### 1: 高斯滤波器\n",
    "![title](data/canny_1.png)"
   ],
   "id": "2c1824e40936717"
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": [
    "### 2:梯度和方向\n",
    "![title](data/canny_2.png)"
   ],
   "id": "a0b43feff59404b4"
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": [
    "### 3:非极大值抑制\n",
    "![title](data/canny_3.png)\n",
    "![title](data/canny_4.png)"
   ],
   "id": "bdd8346cfe804027"
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": [
    "### 4:双阈值检测\n",
    "![title](data/canny_5.png)"
   ],
   "id": "63d6f132995e43c3"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-09-16T08:32:54.010450Z",
     "start_time": "2025-09-16T08:32:47.026871Z"
    }
   },
   "cell_type": "code",
   "source": [
    "img = cv2.imread(\"../data/lena.jpg\", cv2.IMREAD_GRAYSCALE)\n",
    "v1 = cv2.Canny(img, 100, 200)\n",
    "v2 = cv2.Canny(img, 50, 150)\n",
    "\n",
    "res = np.hstack((v1, v2))\n",
    "cv_show(res,'res')"
   ],
   "id": "ebe66c95a6fbc060",
   "outputs": [],
   "execution_count": 32
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-09-16T08:34:56.573424Z",
     "start_time": "2025-09-16T08:34:45.143146Z"
    }
   },
   "cell_type": "code",
   "source": [
    "img = cv2.imread(\"../data/car.png\", cv2.IMREAD_GRAYSCALE)\n",
    "v1 = cv2.Canny(img, 100, 200)\n",
    "v2 = cv2.Canny(img, 50, 150)\n",
    "res = np.hstack((v1, v2))\n",
    "cv_show(res,'res')"
   ],
   "id": "509de1828c0e9b33",
   "outputs": [],
   "execution_count": 34
  },
  {
   "metadata": {},
   "cell_type": "code",
   "outputs": [],
   "execution_count": null,
   "source": "",
   "id": "24db7b9a8b8bd6da"
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
